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Papers by Carlos Benavides

Time evolution of the natural occupation numbers 16:50-17:20 #13 Junhyeok Bang Coherent dynamics ... more Time evolution of the natural occupation numbers 16:50-17:20 #13 Junhyeok Bang Coherent dynamics and dephasing-induced ultrafast charge transfer in van der Waals heterostructures COFFEE BREAK

The angular momentum operators for a system of two spin-zero indistinguishable particles are cons... more The angular momentum operators for a system of two spin-zero indistinguishable particles are constructed, using Isham's Canonical Group Quantization method. This mathematically rigorous method provides a hint at the correct definition of (total) angular momentum operators, for arbitrary spin, in a system of indistinguishable particles. The connection with other configuration space approaches to spin-statistics is discussed, as well as the relevance of the obtained results in view of a possible alternative proof of the spin-statistics theorem.

The angular momentum operators for a system of two spin-zero indistinguishable particles are cons... more The angular momentum operators for a system of two spin-zero indistinguishable particles are constructed, using Isham's Canonical Group Quantization method. This mathematically rigorous method provides a hint at the correct definition of (total) angular momentum operators, for arbitrary spin, in a system of indistinguishable particles. The connection with other configuration space approaches to spin-statistics is discussed, as well as the relevance of the obtained results in view of a possible alternative proof of the spin-statistics theorem.

We study the macroscopic superposition of light coherent states of the type Schrodinger cat state... more We study the macroscopic superposition of light coherent states of the type Schrodinger cat states; analizying, in particular, the role of the temperature in the decoherence processes, characteristic of the superposition of macroscopic states. The method we use here is based on the Master equation formalism, introducing an original approach. We use a modified Mandel function that is well adapted

Proceedings of the Summer School "Geometric and Topological Methods for Quantum Field Theory", pp. 344-367. H. Ocampo, E. Pariguán, S. Paycha (Eds.), Sep 1, 2010

Using the method of canonical group quantization, we construct the angular momentum operators ass... more Using the method of canonical group quantization, we construct the angular momentum operators associated to configuration spaces with the topology of (i) a sphere and (ii) a projective plane. In the first case, the obtained angular momentum operators are the quantum version of Poincare's vector, i.e., the physically correct angular momentum operators for an electron coupled to the field of a magnetic monopole. In the second case, the obtained operators represent the angular momentum operators of a system of two indistinguishable spin zero quantum particles in three spatial dimensions. We explicitly show how our formalism relates to the one developed by Berry and Robbins. The relevance of the proposed formalism for an advance in our understanding of the spin-statistics connection in non-relativistic quantum mechanics is discussed.

Foundations of Physics, 2010

The angular momentum operators for a system of two spin-zero indistinguishable particles are cons... more The angular momentum operators for a system of two spin-zero indistinguishable particles are constructed, using Isham’s Canonical Group Quantization method. This mathematically rigorous method provides a hint at the correct definition of (total) angular momentum operators, for arbitrary spin, in a system of indistinguishable particles. The connection with other configuration space approaches to spin-statistics is discussed, as well as the relevance of the obtained results in view of a possible alternative proof of the spin-statistics theorem.

Time evolution of the natural occupation numbers 16:50-17:20 #13 Junhyeok Bang Coherent dynamics ... more Time evolution of the natural occupation numbers 16:50-17:20 #13 Junhyeok Bang Coherent dynamics and dephasing-induced ultrafast charge transfer in van der Waals heterostructures COFFEE BREAK

The angular momentum operators for a system of two spin-zero indistinguishable particles are cons... more The angular momentum operators for a system of two spin-zero indistinguishable particles are constructed, using Isham's Canonical Group Quantization method. This mathematically rigorous method provides a hint at the correct definition of (total) angular momentum operators, for arbitrary spin, in a system of indistinguishable particles. The connection with other configuration space approaches to spin-statistics is discussed, as well as the relevance of the obtained results in view of a possible alternative proof of the spin-statistics theorem.

The angular momentum operators for a system of two spin-zero indistinguishable particles are cons... more The angular momentum operators for a system of two spin-zero indistinguishable particles are constructed, using Isham's Canonical Group Quantization method. This mathematically rigorous method provides a hint at the correct definition of (total) angular momentum operators, for arbitrary spin, in a system of indistinguishable particles. The connection with other configuration space approaches to spin-statistics is discussed, as well as the relevance of the obtained results in view of a possible alternative proof of the spin-statistics theorem.

We study the macroscopic superposition of light coherent states of the type Schrodinger cat state... more We study the macroscopic superposition of light coherent states of the type Schrodinger cat states; analizying, in particular, the role of the temperature in the decoherence processes, characteristic of the superposition of macroscopic states. The method we use here is based on the Master equation formalism, introducing an original approach. We use a modified Mandel function that is well adapted

Proceedings of the Summer School "Geometric and Topological Methods for Quantum Field Theory", pp. 344-367. H. Ocampo, E. Pariguán, S. Paycha (Eds.), Sep 1, 2010

Using the method of canonical group quantization, we construct the angular momentum operators ass... more Using the method of canonical group quantization, we construct the angular momentum operators associated to configuration spaces with the topology of (i) a sphere and (ii) a projective plane. In the first case, the obtained angular momentum operators are the quantum version of Poincare's vector, i.e., the physically correct angular momentum operators for an electron coupled to the field of a magnetic monopole. In the second case, the obtained operators represent the angular momentum operators of a system of two indistinguishable spin zero quantum particles in three spatial dimensions. We explicitly show how our formalism relates to the one developed by Berry and Robbins. The relevance of the proposed formalism for an advance in our understanding of the spin-statistics connection in non-relativistic quantum mechanics is discussed.

Foundations of Physics, 2010

The angular momentum operators for a system of two spin-zero indistinguishable particles are cons... more The angular momentum operators for a system of two spin-zero indistinguishable particles are constructed, using Isham’s Canonical Group Quantization method. This mathematically rigorous method provides a hint at the correct definition of (total) angular momentum operators, for arbitrary spin, in a system of indistinguishable particles. The connection with other configuration space approaches to spin-statistics is discussed, as well as the relevance of the obtained results in view of a possible alternative proof of the spin-statistics theorem.